Title :
Notice of Retraction
Exponential stability for a larger class of neural network with multiple delays
Author :
Liwen Wu ; Jingbing Wu ; Xiru Wu ; Lihong Huang
Author_Institution :
Coll. Of Math. & Inf. Sci., Huanggang Normal Univ., Huanggang, China
Abstract :
Notice of Retraction
After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.
We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.
The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.
Exponential stability for a larger class of neural network with multiple constant or time-varying delays is considered. Based on the Lyapunov-Krasovskii stability theory for functional differential equations and the linear matrix inequality (LMI) approach, some sufficient conditions for exponential stability of neural networks with multiple constant or time-varying delays are obtained. The conditions presented here are related to the size of delay. Some examples are given to illustrate the feasibility of our results.
Keywords :
Lyapunov methods; asymptotic stability; delays; differential equations; functional equations; linear matrix inequalities; neural nets; time-varying systems; Lyapunov-Krasovskii stability theory; exponential stability; functional differential equations; linear matrix inequality; multiple delays; neural network; time-varying delays; Artificial neural networks; Biological system modeling; Convergence; Educational institutions; Eigenvalues and eigenfunctions; Mathematics; Neural networks; Neurons; Stability; Symmetric matrices; LMI; Lyapunov-Krasovskii functional; cell neural network; delay; exponential stability;
Conference_Titel :
Computer Engineering and Technology (ICCET), 2010 2nd International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-6347-3
DOI :
10.1109/ICCET.2010.5485356
